 | John Hymers - 1841 - 244 sider
...also, sin Л а sin B b' It A = 90°, we still have, in conformity with the theorem, 6 sin В = . a 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the... | |
 | John Hymers - 1858 - 292 sider
...B+ Ъ cos A. \ \ II ii If A = 90° we still have in conformity with the th eorem, с = a cos B. 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the... | |
 | Benjamin Greenleaf - 1861 - 638 sider
...(A—B)' (94) or, as it may be written, a + b : a — b : : tan (A + B) : tan £ (A — B). (95) B 118. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the... | |
 | Benjamin Greenleaf - 1862 - 518 sider
...ten|^I^, (94) or, as it may be written, a + b : a — b : : tan £ (A -\- B) : tan £ (A — B). (95) 113. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the... | |
 | Benjamin Greenleaf - 1862 - 532 sider
...£) or, as it may be written, a-\-b : a — b : : tan £ (A + -B) : tan (94) — .B). (95) 113. ./« any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the... | |
 | Benjamin Greenleaf - 1863 - 504 sider
...(A — B) ' « + 6 __ tan % (A + B) tan ^ (A — B) ' (94) (A -\- B) : tan £ (A — B). (95) B 113. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the... | |
 | Dublin city, univ - 1878 - 498 sider
...circle : — (a). Any side is equal to twice the tangent from its middle point to the circle. (4). The square of any side is equal to the sum of the squares of the tangents from its extremities to the circle. 14. A square is described on the hypotheneuse... | |
 | Simon Newcomb - 1882 - 372 sider
...required parts of the triangle from the altitude. CASE III. Given the three sides. THEOREM III. In a triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of the angle... | |
 | Webster Wells - 1887 - 158 sider
...Since A + В = 180° - С, we have Thus formula (48) may be put in the form a + b _ cot ^ С '51-. 116. In any triangle, the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle.... | |
 | Webster Wells - 1887 - 200 sider
...(Art. 14). Thus formula (48) may be put in the form g + b _ cot £ C a — b~tau$(A — B)' (51) 116. In any triangle, the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle.... | |
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In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle. 
